The Language of Math Punctuation
Punctuation Punctuation is used in English and other languages to give meaning to  what is written . Periods and question marks end sentences, commas are used for lists and to separate phrases, and there are colons and semicolons and so on. When you have learned the “parts of speech” you will learn to  diagram  a sentence, that is, break it into its parts.
Punctuation Punctuation is used in Mathematics to give meaning to  an expression . The punctuation marks are called  grouping symbols . They are: ( ) parentheses [ ] brackets { } braces division bar
Punctuation For example, the meaning of the expression: is just that it is a fancy way of writing the number 1. It is another name for one. Reducing a complex expression to a single number is called  evaluating  the expression.
Parentheses ( ) These always come in left/right pairs and are used to do the same thing.  They tell you to  calculate what’s inside  the parentheses  before doing anything else.
Brackets [ ] & Braces { }  The brackets and braces are used instead of parentheses in complicated expressions to make it easier to read.  It is difficult to see which left parenthesis goes with which right parenthesis in Using brackets and braces makes it easy to read:
Division Bar  In other words, evaluate the numerator and the denominator of a fraction separately.
Math Speak You should pronounce  as  “the  quantity   ”  … short pause …   “minus  ” You should pronounce  as “ the  quantity   divided by the  quantity   “
Examples  Evaluate the  quantity  in the parentheses first…
Examples  Evaluate the  quantity  in the parentheses first…
Examples  Nothing to it!!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!
Work it out!

Grouping Symbols

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    The Language ofMath Punctuation
  • 2.
    Punctuation Punctuation isused in English and other languages to give meaning to what is written . Periods and question marks end sentences, commas are used for lists and to separate phrases, and there are colons and semicolons and so on. When you have learned the “parts of speech” you will learn to diagram a sentence, that is, break it into its parts.
  • 3.
    Punctuation Punctuation isused in Mathematics to give meaning to an expression . The punctuation marks are called grouping symbols . They are: ( ) parentheses [ ] brackets { } braces division bar
  • 4.
    Punctuation For example,the meaning of the expression: is just that it is a fancy way of writing the number 1. It is another name for one. Reducing a complex expression to a single number is called evaluating the expression.
  • 5.
    Parentheses ( )These always come in left/right pairs and are used to do the same thing. They tell you to calculate what’s inside the parentheses before doing anything else.
  • 6.
    Brackets [ ]& Braces { } The brackets and braces are used instead of parentheses in complicated expressions to make it easier to read. It is difficult to see which left parenthesis goes with which right parenthesis in Using brackets and braces makes it easy to read:
  • 7.
    Division Bar In other words, evaluate the numerator and the denominator of a fraction separately.
  • 8.
    Math Speak Youshould pronounce as “the quantity ” … short pause … “minus ” You should pronounce as “ the quantity divided by the quantity “
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    Examples Evaluatethe quantity in the parentheses first…
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    Examples Evaluatethe quantity in the parentheses first…
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Editor's Notes

  • #10 Now when you evaluate quantities side grouping symbols. You get 12 plus 2 now add you 14, 5 minus five in zero and 81 plus 3, which isn’t to an 51 divided by two to give you
  • #11 Now when you evaluate quantities side grouping symbols. You get 12 plus 2 now add you 14, 5 minus five in zero and 81 plus 3, which isn’t to an 51 divided by two to give you
  • #12 Now when you evaluate quantities side grouping symbols. You get 12 plus 2 now add you 14, 5 minus five in zero and 81 plus 3, which isn’t to an 51 divided by two to give you